Answer:
The area of an aerobics floor if the length and width are doubled = 12800
Step-by-step explanation:
Given -
The area of an aerobics floor is 3,200 square meters.
Let x and y be the lenth and width of aerobics floor
then
[tex]x\times y[/tex] = 3200
y = [tex]\frac{3200}{x}[/tex]
the area if the length and width are doubled .
then
length = 2x and width = 2y
area of an aerobics floor = [tex]2x \times 2y[/tex]
= 4xy
putting the value of y
area of an aerobics floor = [tex]4x\times \frac{3200}{x}[/tex]
= [tex]3200\times 4[/tex]
= 12800
